Pre-Algebra Examples

$- 8 x - 5 = - 13$

Step 1

Solve for $y$ .

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Step 1.1

Move all terms not containing $x$ to the right side of the equation.

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Step 1.1.1

Add $5$ to both sides of the equation.

$- 8 x = - 13 + 5$

Step 1.1.2

Add $- 13$ and $5$ .

$- 8 x = - 8$

Step 1.2

Divide each term in $- 8 x = - 8$ by $- 8$ and simplify.

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Step 1.2.1

Divide each term in $- 8 x = - 8$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{- 8}{- 8}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $- 8$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{- 8}{- 8}$

Step 1.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 8}{- 8}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $- 8$ by $- 8$ .

$x = 1$

Step 2

Since $x = 1$ is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Step 3

Find two points on the line.

$\begin{array}{c} x & y \\ 1 & 0 \\ 1 & 1 \end{array}$

Step 4

Graph the line using the slope, y-intercept, and two points.

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ 1 & 0 \\ 1 & 1 \end{array}$

Step 5